# Jump Start Your Teaching Career With Our FTCE Math Test Prep Courses

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VIEW COURSESDEMO LESSONJOIN NOW#### FTCE Math Test Prep Reviews

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#### FTCE Math Scope & Sequence

#### CHAPTER 1: WHOLE NUMBERS & PROPERTIES

##### Unit 1: Addition and Subtraction

Estimating Sums and Differences

Addition and Subtraction Word Problems

##### Unit 2: Multiplication and Addition

Estimating Products and Quotients

Multiplication and Division Word Problems

##### Unit 3: Variables and Properties

#### CHAPTER 2: INTEGERS

##### Unit 1: Introduction to Integers

##### Unit 2: Operations with Integers

##### Unit 3: Order of Operations/Evaluation

##### Unit 4: Absolute Value

#### CHAPTER 3: UNDERSTANDING FRACTIONS

##### Unit 1: Factors and Multiples

Multiples and Least Common Multiples

##### Unit 2: Fractions and Mixed Numbers

Equivalent Fractions (Part II)

Improper Fractions and Mixed Numbers

##### Unit 3: Comparing Fractions

Comparing Mixed Numbers and Improper Fractions

#### CHAPTER 4: OPERATIONS WITH FRACTIONS

##### Unit 1: Adding and Subtracting Fractions

Adding and Subtracting Like Fractions

Adding and Subtracting Unlike Fractions

##### Unit 2: Multiplying and Dividing Fractions

##### Unit 3: Operations with Rational Numbers

#### CHAPTER 5: DECIMALS

##### Unit 1: Decimal Concepts

Converting Decimals to Fractions

Converting Fractions to Decimals

##### Unit 2: Word Problems and Estimation

Estimating Sums and Differences

##### Unit 3: Scientific Notation

Converting from Scientific to Standard Notation

Converting from Standard to Scientific Notation

##### Unit 4: Rational and Irrational Numbers

Terminating and Repeating Decimals

Determining if a Number is Rational or Irrational

#### CHAPTER 6: EXPRESSIONS & EQUATIONS

##### Unit 1: Simplifying Algebraic Expressions

##### Unit 2: Solving One- and Two-Step Equations

##### Unit 3: Solving Multi-Step Equations

Equations Involving Distributive

Variable on Both Sides / Fractions

Variable on Both Sides / Distributive

##### Unit 4: Formulas

#### CHAPTER 7: RATIO AND PROPORTION

##### Unit 1: Ratios and Rates

##### Unit 2: Proportions

##### Unit 3: Percents, Decimals, and Fractions

##### Unit 4: Percent Problems

##### Unit 5: Applications of Percent

#### CHAPTER 8: WORD PROBLEMS

##### Unit 1: Modeling Expressions and Equations

Translating English to Algebra

##### Unit 2: Word Problems

#### CHAPTER 9: INEQUALITIES AND FUNCTIONS

##### Unit 1: Linear Inequalities in One Variable

Solving and Graphing Inequalities

##### Unit 2: Functions

##### Unit 3: Graphing Functions

Graphing within a Given Domain

##### Unit 4: Linear Inequalities in Two Variables

Graphing Inequalities in Two Variables

#### CHAPTER 10: LINEAR EQUATIONS AND FUNCTIONS

##### Unit 1: Word Problems and Table Building

Word Problems and Table Building

##### Unit 2: Slope

Using the Graph of a Line to Find Slope

Using Coordinates to Find Slope

##### Unit 3: Slope Intercept Form and Graphs

Using Slope-Intercept Form to Graph a Line

Converting to Slope-Intercept Form and Graphing

##### Unit 4: Equations of Lines

Using Graphs and Slope-Intercept Form

#### CHAPTER 11: GEOMETRY

##### Unit 1: Lines, Segments, and Angles

Points, Lines, Segments, and Rays

Complementary and Supplementary Angles

##### Unit 2: Triangles

##### Unit 3: Polygons and Circles

##### Unit 4: Three-Dimensional Figures

Classifying 3-Dimensional Figures

##### Unit 5: Congruent and Similar Figures

Problem Solving with Similar Figures

#### CHAPTER 12: MEASUREMENT, AREA, AND VOLUME

##### Unit 1: Units of Measurement

##### Unit 2: Perimeter and Circumference

##### Unit 3: Area

Area of Squares and Rectangles

Area of Parallelograms and Trapezoids

##### Unit 4: Surface Area and Volume

Volume of Cylinders, Spheres, and Cones

#### CHAPTER 13: STATISTICS AND PROBABILITY

##### Unit 1: Common Graphs and Charts

##### Unit 2: Representing Data

Stem-and-Leaf Plots and Frequency Tables

##### Unit 3: Central Tendency

##### Unit 4: Probability

Probability of Independent Events

Probability of Dependent Events

##### Unit 5: Counting Methods

#### CHAPTER 1: EXPONENTS, VARIABLES, & PROPERTIES

##### Unit 1: Exponents and Variables

##### Unit 2: Properties

#### CHAPTER 2: INTEGERS

##### Unit 1: Introduction to Integers

##### Unit 2: Operations with Integers

##### Unit 3: Order of Operations/Evaluation

#### CHAPTER 3: UNDERSTANDING FRACTIONS

##### Unit 1: Factors and Multiples

Multiples and Least Common Multiples

##### Unit 2: Fractions and Mixed Numbers

Equivalent Fractions (Part II)

Improper Fractions and Mixed Numbers

##### Unit 3: Comparing Fractions

Comparing Mixed Numbers and Improper Fractions

#### CHAPTER 4: FRACTION OPERATIONS

##### Unit 1: Adding and Subtracting Fractions

Adding and Subtracting Like Fractions

Adding and Subtracting Unlike Fractions

##### Unit 2: Multiplying and Dividing Fractions

##### Unit 3: Operations with Rational Numbers

#### CHAPTER 5: DECIMALS

##### Unit 1: Decimal Concepts

Converting Decimals to Fractions

Converting Fractions to Decimals

##### Unit 2: Word Problems and Estimation

Estimating Sums and Differences

##### Unit 3: Scientific Notation

Converting from Scientific to Standard Notation

Converting from Standard to Scientific Notation

##### Unit 4: Rational and Irrational Numbers

Terminating and Repeating Decimals

Determining if a Number is Rational or Irrational

#### CHAPTER 6: ALGEBRAIC EXPRESSIONS & EQUATIONS

##### Unit 1: Recognizing Patterns

##### Unit 2: Simplifying Algebraic Expressions

##### Unit 3: Modeling Equations with Manipulatives

Using Manipulatives to Model Algebraic Equations

Using Algebra Tiles to Model Algebraic Equations

##### Unit 4: Solving One- and Two-Step Equations

##### Unit 5: Solving Multi-Step Equations

Equations Involving Distributive

Variable on Both Sides / Fractions

Variable on Both Sides / Distributive

##### Unit 6: Formulas

#### CHAPTER 7: RATIO, PROPORTION, & PERCENT

##### Unit 1: Ratios and Rates

##### Unit 2: Proportions

##### Unit 3: Percents, Decimals, and Fractions

##### Unit 4: Percent Problems

##### Unit 5: Applications of Percent

#### CHAPTER 8: WORD PROBLEMS

##### Unit 1: Modeling Expressions and Equations

Translating English to Algebra

##### Unit 2: Word Problems

#### CHAPTER 9: INEQUALITIES & ABSOLUTE VALUE

##### Unit 1: Linear Inequalities in One Variable

Solving and Graphing Inequalities

##### Unit 2: Absolute Value Equations and Inequalities

#### CHAPTER 10: GRAPHING & FUNCTIONS

##### Unit 1: Graphing and Relationships

##### Unit 2: Recognizing and Evaluating Functions

##### Unit 3: Graphing Functions

Graphing within a Given Domain

##### Unit 4: Linear Inequalities in Two Variables

Graphing Inequalities in Two Variables

#### CHAPTER 11: TRANSFORMATIONS

##### Unit 1: Symmetry

##### Unit 2: Congruence Transformations

##### Unit 3: Dilations

#### CHAPTER 12: LINEAR EQUATIONS IN TWO VARIABLES

##### Unit 1: Table Building

Word Problems and Table Building

##### Unit 2: Slope and Rate of Change

Using the Graph of a Line to Find Slope

Using Coordinates to Find Slope

##### Unit 3: Slope-Intercept Form

Using Slope-Intercept Form to Graph a Line

Converting to Slope-Intercept Form and Graphing

Linear Parent Graph and Transformations

##### Unit 4: Writing Equations of Lines in Slope-Intercept Form

Using Graphs and Slope-Intercept Form

Using Tables and Slope-Intercept Form

##### Unit 5: Direct Variation and Applications

Applications of Direct Variation and Linear Functions

##### Unit 6: Standard Form

#### CHAPTER 13: SYSTEMS OF EQUATIONS IN TWO VARIABLES

##### Unit 1: Solving Systems of Equations

##### Unit 2: Word Problems

#### CHAPTER 14: EXPONENTS & POLYNOMIALS

##### Unit 1: Exponent Rules

##### Unit 2: Advanced Exponent Problems

Numerical Bases and Exponents of Zero

##### Unit 3: Multiplying Polynomials

#### CHAPTER 15: FACTORING

##### Unit 1: Greatest Common Factor

##### Unit 2: Factoring Special Polynomials

Special Trinomials with Positive Constant

Special Trinomials with Negative Constant

##### Unit 3: Advanced Trinomial Factoring

Coefficient on x^{2} Term, Positive Constant

Coefficient on x^{2} Term, Negative Constant

##### Unit 4: Factoring Completely

Factoring Out G.C.F. as First Step

##### Unit 5: Polynomial Equations

#### CHAPTER 16: RATIONAL EXPRESSIONS & EQUATIONS

##### Unit 1: Beginning Rational Expressions

Simplifying Rational Expressions

Multiplying and Dividing Rational Expressions

##### Unit 2: Advanced Rational Expressions

Subtracting Rational Expressions

##### Unit 3: Rational Equations

#### CHAPTER 17: RADICAL EXPRESSIONS & EQUATIONS

##### Unit 1: Beginning Radical Expressions

##### Unit 2: Advanced Radical Expressions

##### Unit 3: Radical Equations

#### CHAPTER 18: QUADRATIC EQUATIONS & FUNCTIONS

##### Unit 1: Introduction to Quadratics

Graphs of Quadratic Functions and Beginning Transformations

Graphs of Quadratic Functions and Advanced Transformations

Solving Quadratic Equations by Graphing

##### Unit 2: Solving Quadratic Equations

Beginning Completing The Square

##### Unit 3: Graphing Quadratic Equations

Understanding y - k = a(x - h)^{2} Form

Graphing Quadratic Equations in y - k = a(x - h)^{2} Form

Writing Quadratic Equations in y - k = a(x - h)^{2} Form

##### Unit 4: Quadratic Functions

#### CHAPTER 19: INTRODUCTION TO GEOMETRY

##### Unit 1: Points, Lines, and Planes

Points, Lines, Planes, and Space

Segment Addition Postulate and Midpoint

##### Unit 2: Angles

Angle Addition Postulate and Angle Bisector

##### Unit 3: Reasoning

Inductive vs. Deductive Reasoning

##### Unit 4: Properties and Beginning Proofs

Algebra Proofs with Properties

Geometry Proofs with Midpoints and Angle Bisectors

#### CHAPTER 20: ANGLE PAIRS AND PERPENDICULAR LINES

##### Unit 1: Angle Pairs

Complementary and Supplementary Angles (Part 1)

Complementary and Supplementary Angles (Part 2)

##### Unit 2: Perpendicular Lines

Problems Involving Perpendicular Lines

Theorems Involving Perpendicular Lines

#### CHAPTER 21: PARALLEL LINES AND POLYGONS

##### Unit 1: Parallel Lines

##### Unit 2: Angles of a Triangle

Vocabulary and Triangle Sum Theorem

Word Problems and Exterior Angle Theorem

##### Unit 3: Polygons

Sum of Interior and Exterior Angles

#### CHAPTER 22: CONGRUENT TRIANGLES

##### Unit 1: Beginning Concepts

Proving Triangles are Congruent by SSS, SAS, and ASA

##### Unit 2: Advanced Concepts

Proving Triangles are Congruent by AAS and HL

Medians, Altitudes, and Perpendicular Bisectors

#### CHAPTER 23: QUADRILATERALS

##### Unit 1: Parallelograms

Proving a Quadrilateral is a Parallelogram

##### Unit 2: Other Quadrilaterals

Rectangles, Rhombuses, and Squares

#### CHAPTER 24: SIMILARITY

##### Unit 1: Proportions

##### Unit 2: Similar Polygons

Properties of Similar Polygons

Angle-Angle Similarity Postulate

##### Unit 3: Theorems

SSS and SAS Similarity Theorems

Triangle Proportionality and Triangle Angle-Bisector Theorems

#### CHAPTER 25: RIGHT TRIANGLES

##### Unit 1: Pythagorean Theorem

Converse of the Pythagorean Theorem

##### Unit 2: Special Right Triangles

30-60-90 and 45-45-90 degree Triangles (Part I)

##### Unit 3: Right Triangle Trigonometry

Sine, Cosine, and Tangent (Part I)

Sine, Cosine, and Tangent (Part II)

#### CHAPTER 26: CIRCLES

##### Unit 1: Vocabulary and Tangents

##### Unit 2: Arcs, Central Angles, and Chords

##### Unit 3: Angles and Segments

Angles Formed by Chords, Secants, and Tangents

##### Unit 4: Segment Lengths

Theorems and Beginning Problems

#### CHAPTER 27: MEASUREMENT & AREA

##### Unit 1: Units of Measurement

##### Unit 2: Area of Rectangles, Squares, and Parallelograms

Area of Rectangles and Squares (Part I)

Area of Rectangles and Squares (Part II)

##### Unit 3: Area of Triangles, Rhombuses, and Trapezoids

##### Unit 4: Area of Regular Polygons and Circles

Area and Circumference of Circles

##### Unit 5: Changing Dimensions

#### CHAPTER 28: SURFACE AREA & VOLUME

##### Unit 1: Three-Dimensional Figures

Classifying 3-Dimensional Figures

##### Unit 2: Prisms

Vocabulary, Formulas, and Right Rectangular Prisms

##### Unit 3: Pyramids

Vocabulary, Formulas, and Regular Square Pyramids

##### Unit 4: Cylinders, Cones, and Spheres

#### CHAPTER 29: STATISTICS & PROBABILITY

##### Unit 1: Common Graphs and Charts

##### Unit 2: Representing Data

Stem-and-Leaf Plots and Frequency Tables

##### Unit 3: Central Tendency

##### Unit 4: Probability

Probability of Independent Events

Probability of Dependent Events

##### Unit 5: Counting Methods

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